Question

Find the value of y if the figure is a regular polygon.

Answer 1

Answer:

y= 30°

Step-by-step explanation:

y° +y°+y°+y°+y°+y°=180°

6y°=180°

y=30°

Answer 2

Answer:

y = 60

Step-by-step explanation:

The exterior angles of a regular polygon add up to 360. Try drawing a square which has exterior angles = 90 degrees or an equilateral triangle which has an exterior angle of 120.

Formula is

Exterior angle = 360 / number of sides

number of sides = 6

Exterior angle = 360/6 = 60

x  is the supplement of y

x + y = 180

x + 60 = 180     Subtract 60 from both sides

x = 180 - 60

x  = 120